A statistical description of turbulent diffusion flame holes

C. Pantano, D. I. Pullin

Research output: Contribution to journalArticlepeer-review


A statistical approach to the dynamics of diffusion-flame holes is presented. The dynamics of the holes are assumed to be controlled by the edge-flame velocity that is determined by the mixture fraction rate of dissipation, a random variable in a turbulent flow. The formulation is then specialized to the case of small circular holes and a stochastic model is used to investigate the dynamics of the joint probability density function of flame-hole radius and scalar dissipation. The associated Fokker-Planck transport equation for the joint pdf is solved and the hole area evolution with time is computed. Furthermore, the one-dimensional marginal probability density function transport equation for the hole radius is derived and the conditional edge-flame velocity is studied for both expanding and collapsing holes.

Original languageEnglish (US)
Pages (from-to)295-305
Number of pages11
JournalCombustion and Flame
Issue number3
StatePublished - May 2004


  • Diffusion flame
  • Flame hole
  • Stochastic model
  • Turbulent combustion

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'A statistical description of turbulent diffusion flame holes'. Together they form a unique fingerprint.

Cite this